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Finding the Fourth Proportional to 135,199.96, 202,819.50 and 41,713

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Solution

The fourth proportional to 135,199.96, 202,819.50 and 41,713 is: 62,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199.96 : 202,819.50 = 41,713 : x
  2. Step 2: Convert to fraction form
    135,199.96/202,819.50 = 41,713/x
  3. Step 3: Cross multiply
    135,199.96x = 202,819.50 × 41,713
  4. Step 4: Simplify right side
    135,199.96x = 8,460,209,803.50
  5. Step 5: Solve for x
    x = 8,460,209,803.50/135,199.96
  6. Step 6: Final answer
    x = 62,575.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.